Sample/draft short descriptions: III. Microfluidics: Electrokinetic and Interfacial phenomena Workshop Organizers: Martin Bazant (MIT), Sandip Ghosal (Northwestern), Ali Nadim (Claremont Graduate University), Todd Squires (UCSB), Susan Muller (Berkeley). Short description: Microfluidics is the science of fluid motion on microscopic scales (roughly 0.1 to a 100 micron). In this regime inertial effects are negligible and interfacial effects (surface tension, capillarity, electrostatic charge etc.) dominate. The subject has emerged as an area of great interest in the applied sciences because of potential applications in nanotechnology and bio-analytical chemistry. The workshop will focus on topics in the basic science of ionic fluids: zeta potentials, Debye Layers, Electroosmosis and Electrophoresis; interfacial effects and applications such as controlled droplet motion by electrowetting, and the Brownian hydrodynamics of macromolecules and polymers. Several tutorials prior to the workshop will be arranged to give non-specialists the necessary introductory background. V. Transport & Mixing in Complex and Turbulent Flows Workshop Organizers: Peter Constantin (Chicago), Charlie Doering (Michigan), Peter Kramer (RPI), Dave Sharp (Los Alamos), Bill Young (Scripps Institute of Oceanography). Short description: Enhanced mixing and momentum transport properties are distinguishing characteristics of both turbulence and more structured complex flows. The concepts of eddy diffusion and eddy viscosity were introduced as attempts to “parameterize” these effects to produce reduced models for both theoretical analysis and simulations. At the same time turbulent mixing and transport is the focus of significant attention from a fundamental point of view, based in some cases on the Navier-Stokes equations and in other cases on models or special flows amenable to more thorough analytical investigations. This workshop is concerned with modern mathematical approaches to the study of transport and mixing in turbulence and other complex flows, including transitional flows, along with significant attention to applications from the applied sciences, predominantly geophysics. Preworkshop tutorials will cover basic models and analysis in turbulence and mixing. Sample/draft complete descriptions: III. Microfluidics: Electrokinetic and Interfacial phenomena Workshop Organizers: Martin Bazant (MIT), Sandip Ghosal (Northwestern), Susan Muller (Berkeley), Ali Nadim (Claremont Graduate University), Todd Squires (UCSB). Date: Late Fall 2009 Description: Microfluidics is the science of fluid motion on microscopic scales (roughly 0.1 to a 100 micron). On these scales, the fluid motion is dominated by interfacial effects such as surface tension, capillarity and electrostatic charge. Length scales are small enough for inertial effects to be negligible (the Stokes flow regime) and yet not so small as to invalidate the continuum description, though in some instances Brownian motion must be accounted for. Many examples of microfluidic systems exist in the living world: locomotion of micro-organisms, the flow of fluids through the proboscis of insects such as mosquitos, the behavior of charged colloidal particles, macromolecules and polymers in ionic solutions and so on. In the world of technology, the subject of microfluidics has recently been the focus of much attention because of possible applications in nanotechnology and bio-analytical chemistry. It has been realized that enormous gains in speed and efficiency are possible if some of the large scale automated laboratory procedures (such as those involved in DNA sequencing) can be miniaturized and implemented on palm sized glass or plastic chips. Microfluidics is the essential science for the design of such "Lab on Chip" devices. Further, the mechanics of charged macromolecules in solution could be the key to understanding many essential processes in the biology of living cells.. The topics to be considered include: the basic science of ionic fluids -- zeta potentials, Debye Layers and ionic transport. The fluid mechanics of Electroosmosis and Electrophoresis, Induced Charge Electroosmosis (ICEO) and Dielectrophoresis. Statics and Dynamics of Liquid Drops -- Thermocapillarity, Electrowetting on Dielectric and applications. Microfluidic processes: the problem of mixing and the problem of separation. Electrically charged fluids with a free surface -- the Rayleigh instability, Taylor Cones and Electrojets. Suspension mechanics -- hydrodynamic interactions between particles and polymers, charge effects and the effect of shear. We expect to have several introductory lectures prior to the workshop, dealing with basic fluid dynamics in microfluidic systems. During the workshop there will be three or four lectures per day on related topics, a continuing poster display, and day's end summary discussions. Potential participants (random order): Ehud Yariv (Technion) Juan Santiago (Stanford) Terry Conlisk (Ohio State) Shelley Anna/ Howard Stone (Harvard) Michael Brenner (Harvard) Patrick Doyle (MIT) Jean-Louis Viovy (Institut Curie) Gary Slater (U. Ottawa) Kevin Dorfmann (Minnesota) Justin Cooper-White (U. Queensland) Gareth McKinley (MIT) Eric Shaqfeh (Stanford) David Saintillain (UIUC) Tony Ladd (Florida) Adam Cohen (Harvard) Eric Weeks (Emory) Jim Gilchrist (Lehigh) Michael Graham (Wisconsin-Madison) Steven Quake (Stanford) Rustem Ismagilov (U. Chicago) George (Bud) Homsy (UCSB) Satish Kumar (UCSB) Steve Wereley (Purdue) Armand Ajdari (Saint Gobain) Robert H. Austin (Princeton) Harold Craighead (Cornell) Ulrich Tallarek (Magdeburg/Marburg) Brian Storey (Olin College) Todd Thorsen (MIT) Henrik Bruus (Danish Technical University) Jongyoon Han (MIT) Narayan Aluru (UIUC) Antonio Ramos (Seville) Mehmet Toner (Harvard Medical School) Daniel Irinia (Harvard Medical School) James Sterling (Keck Graduate Institute) H. Chia Chang (Notre Dame) Paul Steen (Cornell) Michael Miksis (Northwestern) Chang-Jin "CJ" Kim (UCLA) Klavs Jensen (MIT) Peter Gascoyne (MD Anderson Cancer Center) Richard Fair (Duke) Thomas Jones (Rochester) Frieder Mugele (Twente) Ali Borhan (Penn State) Neil Gershenfeld (MIT) John T. McDevitt (Texas) Ming Wu (Berkeley) David Quere (ESPCI) Yves Fouillet (LETI, Grenoble) Neelesh Patankar (Northwestern) Abraham Lee (UCI) Kamran Mohseni (Colorado) Jonathan Rothstein (Amherst) Eric Lauga (UCSD) Haim Bau (Penn) Tom Mason (UCLA) Dieter Braun (Ludwig Maximialns Universitat) Charles Schroeder (UIUC) Patrick Tabeling (ESPCI, Paris)' Thomas Burg (MIT, postdoc of Scott Manalis) Derek Stein (Brown) Sumita Pennathur (UCSB) Potential Tutorials: Martin Bazant & Todd Squires, Nonlinear Electrokinetics Brian Storey, Electrohydrodynamic Instabilities in Microfluidics Sandip Ghosal, Fundamentals of Electrokinetic Flows Ali Nadim/ Jim Sterling/CJ Kim/Richard Fair, Electrowetting David Quere, Capillarity Tom Jones, Electromechanics Mike Miksis, Contact Line Motion V. Transport & Mixing in Complex and Turbulent Flows Workshop Organizers: Peter Constantin (Chicago), Charlie Doering (Michigan), Peter Kramer (RPI), Dave Sharp (Los Alamos), Bill Young (Scripps Institute of Oceanography) Date: Early Spring 2010 Description: Among the most prominent physical features of turbulence are its enhanced mixing and momentum transport properties. The concepts of eddy diffusion and eddy viscosity, for example, are introduced as attempts to “parameterize” these effects to produce reduced models for both theoretical analysis and simulations. At the same time turbulent mixing and transport is the focus of significant attention from a fundamental point of view, based in some cases on the Navier-Stokes equations and in other cases starting from models or special flows amenable to more thorough analytical investigations. This workshop is concerned with modern mathematical approaches to the study of transport and mixing in turbulence and other complex flows, including transitional flows, along with motivating applications from the applied sciences, predominantly geophysics. Geophysical fluid dynamics provides striking examples of both mixing and non-mixing by complex turbulent flows. The barrier effect at the edge of the polar vortex in the stratosphere is well-studied example of impeded transport with important practical consequences. The deliberate release of iron fertilizer in the upper ocean in order to trigger massive plankton blooms is example application of geophysical mixing. The geophysical component of the workshop will focus on the mechanics of mixing in atmospheric and oceanic flows characterized by strong rotation and stratification. These dynamical constraints suppress vertical motion so that turbulence is both anisotropic and structured. Chaotic advection, finite-time Lyapunov exponents, and numerical simulation have been useful for understanding mixing and transport in these circumstances. More recent work has focused on tracer-age and transit time densities as key concepts. Some of the introductory lectures prior to the workshop will cover these basic topics. The workshop will include discussions of Lagrangian approaches and stochastic models to turbulent transport, which can handle certain anomalies more simply than the traditional Eulerian framework. Somer talks will focus on rigorous mathematical results on the coarse-grained behavior of the concentration field in certain flow models; these serve as launching points for the asymptotic and analytic study of the dependence of transport and mixing on flow parameters and inform coarse-grained approximation approaches in more complex situations than can be treated within a completely analytical framework. The role of particle inertia in and transport and mixing properties will also be addressed, as will issues of parameter estimation for coarse-grained transport models. A few talks will address special issues of mixing and transport in porous media, where the flow can be taken as steady but generally with multiphase, multiscale, and disordered characteristics. Tutorial lectures will review some key phenomena in mixing, turbulent momentum transport, turbulent energy dissipation and turbulent diffusion that can be elucidated through analysis of both deterministic and stochastic mathematical models. Kinematic flow models generally simplify or idealize some aspect of the flow to permit detailed investigation of how some other complex features of the flow influence the mixing and transport of an immersed passive scalar field. Among the turbulent diffusion phenomena to be explored are the dependence of effective transport rates on underlying physical flow parameters, the structure and suitability of various coarse-grained approximations for the concentration field, and anomalies in the statistics of concentration fluctuations. Basic results and intuition regarding these topics can be developed through the use of multiscale and stochastic analytical techniques along with simulations of mathematical model flows with simplified spatial and/or temporal statistical structure. Potential participants (random order): Annalisa Griffa (University of Miami) Andrew Reynolds (Rothamsted Research) Antonio Celani (Nice) Andrea Mazzino (Genoa) Andrew Stuart (Warwick) Grigorios Pavliotis (Imperial) Angelo Vulpiani (Roma 'La Sapienza') Albert Fannjiang (UC Davis) Tomasz Komorowksi (Maria Curie Sklodowska) Gedeon Dagan (Tel Aviv) Leonid Piterbarg (USC) Louis Durlofsky (Stanford) Jeffrey Weiss (Colorado) Jerry Gollub (Haverford) J. Christos Vassilicos (Imperial) Claudia Pasquero (Irvine) Ray Pierrehumbert (Chicago) Eli Tziperman (Harvard) Francois Primeau (Irvine) Esteban Tabak (NYU) Ed Ott (Maryland) Stefan Llewellyn Smith (UCSD) Jacques Vanneste (Edinburgh) Peter Haynes (Cambridge) Neil Balmforth (UBC) Jean-Luc Thiffeault (Wisconsin) Tom Haine (Johns Hopkins) Mark Holzer (UBC) Gautam Iyer (Stanford) Alex Kiselev (Wisconsin) Lenya Ryzhik (Chicago) Alex Novikov (Penn State) Andrej Zlatos (Chicago) Grisha Falkovich (Weizmann) Leslie Smith (Wisconsin) Juan Restrepo (Arizona) Fabian Waleffe (Wisconsin) Norman Lebowitz (Chicago) Divakar Viswanath (Michigan) Parvis Moin (Stanford) George Papanicolau (Stanford) Paola Cessi (UCSD/Scripps) Colm Caulfield (Cambridge) Greg Chini (New Hampshire) Bruno Eckhardt (Marburg) Rich Kerswell (Bristol) Igor Mezic (Sanna Babba) Paul Milewski (Wisconsin) Rich McLaughlin (Chapel Hill) Antonello Provenzalle (Torino) Joerg Schumacher (Ilmenau) Ed Spiegel (Columbia) Xiaoming Wang (Florida State) James Glimm (Stont Brook) James Ottino (Northwestern) Mischa Chertkov (Los Alamos) Nigel Goldenfeld (Illinois) Potential Tutorials: Jean-Luc Thiffeault, Dynamical and topological aspects of mixing Charlie Doering, Turbulent transport, drag and convection Peter Kramer, Mathematical Models for Turbulent Diffusion Bill Young, Turbulence and mixing in geophysical flows